Ahailstone is traveling through the sky. its position
x(t)
y(t)
z(t)
in meters is given by
x(t)
y(t)
z(t)
=
00
2160
+
3
−2
−9
t where t
is the time in seconds since the hailstone began being tracked.
a. if x(t) represents an east-west location, how quickly is the hailstone moving to the east?
b. if y(t) represents a north-south location, how quickly is the hailstone moving to the south?
c. what could be causing the east-west and north-south velocities for the hailstone?
d. if z(t) represents the height of the hailstone, how quickly is the hailstone falling?
e. at what location will the hailstone hit the ground (assume z = 0 is the ground)? how long will this take?
f. what is the overall speed of the hailstone? to the nearest meter, how far did the hailstone travel from t = 0
to when it hit the ground?